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Simplifying 6z + -8z = 6z + -9 + -1z Combine like terms: 6z + -8z = -2z -2z = 6z + -9 + -1z Reorder the terms: -2z = -9 + 6z + -1z Combine like terms: 6z + -1z = 5z -2z = -9 + 5z Solving -2z = -9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -2z + -5z = -9 + 5z + -5z Combine like terms: -2z + -5z = -7z -7z = -9 + 5z + -5z Combine like terms: 5z + -5z = 0 -7z = -9 + 0 -7z = -9 Divide each side by '-7'. z = 1.285714286 Simplifying z = 1.285714286
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